Assume that you have two objects, one with a mass of 6 kg and the other with a mass of 17 kg, each with a charge of −0.027 c and separated by a distance of 3 m. what is the electric force that these objects exert on one another? answer in units of n. what is the gravitational force between them? answer in units of n.

Respuesta :

Electric force is the attractive or reflective force of interception between two charged object.

  • A) The electric force that these objects exert on one another is [tex]7.28\times 10^5[/tex] N.
  • B) The gravitational force between them is [tex]7.56\times10^{-10}[/tex] N.

Given information-

The mass of first object is 6 kg.

The mass of second object is 17 kg.

The charge on both the object is 0.027 C.

The distance between the two object is 3 m.

What is electric force?

Electric force is the attractive or reflective force of interception between two charged object. It can be calculated using the Coulomb's law as,

[tex]F=k_e\dfrac{q_1\q_2}{r^2}[/tex]

Here, [tex]q[/tex] is the charge on the object and [tex]r[/tex] is the distance between the objects. [tex]k_e[/tex] is coulombs constant [tex](8.987\times 10^9)[/tex] N-m squared per C squared.

  • A) Electric force that these objects exert on one another-

Put the values in above formula to find out the electric force between given objects-

[tex]F=8.987\times10^9\dfrac{(-0.027)\times(-0.027)}{3^2}\\F=7.28\times 10^5[/tex]

Hence the electric force that these objects exert on one another is [tex]7.28\times 10^5[/tex] N.

  • B) Gravitational force between them-

Gravitational force between two object with mass [tex]m_1[/tex] and [tex]m2[/tex] can be given as,

[tex]F_g=G\dfrac{m_1m_2}{r^2}[/tex]

Here [tex]G=6.67\times 10^{-11}[/tex] N-m squared per kg squared.

Put the values,

[tex]F_g=6.67\times 10^{-11}\times\dfrac{6\times17}{3^2}\\F_g=7.56\times10^{-10}[/tex]

Thus, the gravitational force between them is [tex]7.56\times10^{-10}[/tex] N.

Hence,

  • The electric force that these objects exert on one another is [tex]7.28\times 10^5[/tex] N.
  • The gravitational force between them is [tex]7.56\times10^{-10}[/tex] N.

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